You are not the first to object. These are classic objections from Protestants.
James 5:14-18 King James Version (KJV)
14 Is any sick among you? let him call for the elders of the church; and let them pray over him, anointing him with oil in the name of the Lord:
15 And the prayer of faith shall save the sick, and the Lord shall raise him up; and if he have committed sins, they shall be forgiven him.
16 Confess your faults one to another, and pray one for another, that ye may be healed. The effectual fervent prayer of a righteous man availeth much.
17 Elias was a man subject to like passions as we are, and he prayed earnestly that it might not rain: and it rained not on the earth by the space of three years and six months.
18 And he prayed again, and the heaven gave rain, and the earth brought forth her fruit.
Note here that the Bible itself recommends asking someone else to pray: “the elders” of the Church, who, like other Church leaders (1 Tim 3:1-13; Titus 1:7), are supposed to be of exemplary character, and “worthy of double honor” (1 Tim 5:17). They have more power, due to their ordination.
In Revelation 5:8, the “twenty-four elders” (usually regarded by commentators as dead human beings) “fell down before the Lamb . . . with golden bowls full of incense, which are the prayers of the saints.” They appear to have other people's prayers, to present to God. So the obvious question is: what are they doing with them? Why does Revelation present dead saints presenting the prayers of other saints to God?
If they have them, it stands to reason as a rather straightforward deduction, that they heard the initial prayers as well, or at least were granted knowledge of them in some fashion: ultimately through the power of God. Revelation 8:3-4 is even more explicit. Rather than equating incense and prayers, it actually distinguishes between them, and presents the scenario that the prayers and incense are presented together:
And another angel came and stood at the altar with a golden censer; and he was given much incense to mingle with the prayers of all the saints upon the golden altar before the throne; [4] and the smoke of the incense rose with the prayers of the saints from the hand of the angel before God.
It seems clear that they have heard the prayers of men, and are involved as intercessors. Angels are extremely intelligent beings. We know that they rejoice when a sinner repents. They have knowledge in ways that we do not; above our comprehension.
This is biblical proof that physically dead saints and angels both somehow know about our prayers and present them to God. They are acting as intercessors and intermediaries. How do they hear our prayers? God gives them the power to do so because they are in heaven and therefore, outside of time. They are aware of earthly events. We know that from Hebrews 12:1 (“we are surrounded by so great a cloud of witnesses”) and from Revelation 6:9-10, where dead saints are praying for those on the earth.
This is our entire rationale for asking saints to pray to God for us: all in perfect harmony with the Bible:
1) Holy men and women's prayers have great power.
2) Physically dead saints are perfected in holiness and are still part of the Body of Christ.
3) The Blessed Virgin Mary in particular is exceptionally holy (Immaculate Conception) and as the Mother of God, her prayers have more power and effect than that of any other creature: all by God's grace.
4) We know that they are aware (or are made aware) of earthly events.
5) We know that they exercise much charity and pray for us.
Of course Catholics also pray directly to God, no one but the most extreme anti-Catholics denies that. Question is why can't we do both? To say that we have as much influence with God as with any saints in heaven shows pride, because it assumes that we are perfect, holy, and sinless already (unless one is so sure he or she is always in a state of grace), which is a deadly error -> the sin of presumption. For your information, all Catholic masses (Mass is the highest form of public worship in the Catholic Church) are offered to God and God alone.
I'm sorry but I think only God has "the" power. Holy Man or Woman for that matter do not have whatever powers. Elders of the Church are offices of responsibility, no where in the Bible are they attributed to have more power in prayers or Mary for that matter....
3) The Blessed Virgin Mary in particular is exceptionally holy (Immaculate Conception) and as the Mother of God, her prayers have more power and effect than that of any other creature: all by God's grace.